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SUMMARY:Sudhir Pujahari (University of Warsaw)
DTSTART:20210308T121500Z
DTEND:20210308T131500Z
DTSTAMP:20260423T023054Z
UID:WarsawNT/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WarsawNT/23/
 ">Arithmetic and statistics of sums of eigenvalues of Hecke operators</a>\
 nby Sudhir Pujahari (University of Warsaw) as part of Warsaw Number Theory
  Seminar\n\nLecture held in currently online.\n\nAbstract\nIn the first pa
 rt of the talk\, we will study about the distribution of gaps between eige
 nvalues of Hecke operators in both horizontal and vertical settings. As an
  application of this we will obtain a strong multiplicity one theorem and 
 evidence towards Maeda conjecture. The horizontal setting is a joint work 
 with M. Ram Murty. In the second part of the talk\, using recent developme
 nts in the theory of l-adic Galois representations we will study the norma
 l number of prime factors\nof sums of Fourier coefficients of eigenforms. 
 Moreover\, we will see the distribution of distinct prime factors of sums 
 of Fourier coefficients of eigenforms. The final part is a joint work with
  M. Ram Murty and V. Kumar Murty.\n
LOCATION:https://researchseminars.org/talk/WarsawNT/23/
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